Answer:
27.5 square units
Explanation:
You want to know the area of the composite shape shown in the graph.
Composition
The shape can be decomposed into a parallelogram and a triangle. Each has the same base, 5 units.
The parallelogram has a height of 3 units, so its area is ...
A = bh
A = (5)(3) = 15 . . . . square units
The triangle has a height of 5 units, so its area is ...
A = 1/2bh
A = 1/2(5)(5) = 12.5 . . . . square units
The total area of the figure is the sum of the areas of its parts:
total area = (15 units²) +(12.5 units²) = 27.5 units²
The area of the polygon is 27.5 square units.